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AP Statistics Probability Flashcards

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8340736451Fundamental Counting Principal"How many ways?"0
8340736452Fundamental Counting Principalcertain procedure (P) can be broken into a number (n) of successive ordered stages - S subscript r = n ways1
8340736453permutationAn r-permutation of a set of n elements is an ORDERED selection of r elements from the set of n elements (Hint: If the things being chosen will do (or have done to them) different things, it's a permutation.)2
8340736454permutation key wordsofficers, place, arranged, line up3
8340736455permutation formula4
8340736456combinationThe number of combinations of n elements taken at r at a time; ORDER DOES NOT MATTER (Hint: If the things being chosen are going to do (or have done to them) the same thing, it's a combination)5
8340736457combination key wordsteam, group, commitee6
8340736458combination formula7
8340736459sample spacethe collection of all possible outcomes of a chance experiment (Example: roll a die, S={1, 2, 3, 4, 5, 6}8
8340736460eventany collection of outcomes from the sample space (Example: roll prime numbers, E={2,3,5}9
8340736461complementconsists of all outcomes that are not in the event (Example: E super c ={1,4,6}10
8340736462Unionthe event A or B happening and consists of all outcomes that are in at least one of the 2 events (Example: rolling a prime number or even number E= A U B {2, 3, 4,5,6}11
8340736463Interesectionthe event A and (think "overlap") B happening and consists of all outcomes that are in both events (example: drawing a red card and a 2, E={2 hearts, 2 diamonds}12
8340736464Mutually Exclusive (disjointed)two events that have no outcomes in common (Example: Roll a 2 or a 5 (with one die))13
8340736465Venn Diagramsused to display relationships between events, helpful in calculating probabilities14
8340736466probabilitydenoted by P(Event), =favorable outcomes/total outcomes (Note: this method for calculating probabilities is only appropriate when the outcomes of the sample are equally likely (not weighted))15
8340736467experimental probabilitythe relative frequency at which a chance experiment occurs16
8340736468law of large numbersAs the number of repetitions of a chance experiment increase, the difference between relative frequency of occurrence for an event and the true probability approaches zero17
8340736469Rule 1Legitimate Values; For any event (E),, 0<=P(E)<=118
8340736470Rule 2Sample Space; If S is the sample space, P(S)=119
8340736471Rule 3Complement; For any event E, P(E) + P(not E) =120
8340736472Rule 4Addition; If two events M & N are disjoint, P(M or N)=P(M)+P(N) (General) If two events M&N are not disjoint, (i.e. they intersect) P(M or N) = P(M)+P(N)-P(M and N)21
8340736473Rule 5Multiplication; If two events A & B are independent, P(A) * P(B|A)22
8340736474Rule 6At least one; The probability that at least one outcome happens is one minus the outcome the nonrof it happens P>=1 = P(1-none)23
8340736475Rule 7Conditional Probability; a probability that takes into account a given condition, P(B|A) =P(A intersection B)/P(A)24
8340736476Independent2 events are independent if knowing that one will occur (or has occurred) does not change the probability that the other occurs; P(B|A) = P(B); P intersection B=P(A)*P(B); P(A|not B)=P(A)25
8340736477If two events are independent, then the probability that both occur is......the product of the probabilities of each event26
8340736478If A and B are mutually exclusive (note: P(A)>0 and P(B)>0)......then they are dependent events27
8340736479Classical Probability versus Relative FrequencyClassical: the calculation of a probability consists of dividing the number of outcomes that make up an event by the sample space Relative Frequency: P(Event) is defined to be the value approached by the relative frequency of occurrence of the event in a very long series of trials of a chance experiment28

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